In our following studies we will consider the jet angularities \(\lambda _\alpha ^\kappa \) 
with \(\mathopen {}\mathclose {\left(\kappa , \alpha \right)} = (1, 1/2), \, (1, 1)\)  and \((1, 2)\) . In previous studies [1]}, [2]}
these have been dubbed Les Houches Angularity (LHA) \(\lambda ^1_{1/2}\) , Width \(\lambda ^1_1\) , and
Thrust \(\lambda ^1_2\) , respectively. We adopt this naming convention here. For SoftDrop grooming we
use \(\beta = 0\) , \(z_{\text{cut}}= 0.1\)  throughout.
